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Finding the Fourth Proportional to 9,093.96, 13,640.92 and 2,854.01

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Solution

The fourth proportional to 9,093.96, 13,640.92 and 2,854.01 is: 4,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.96 : 13,640.92 = 2,854.01 : x
  2. Step 2: Convert to fraction form
    9,093.96/13,640.92 = 2,854.01/x
  3. Step 3: Cross multiply
    9,093.96x = 13,640.92 × 2,854.01
  4. Step 4: Simplify right side
    9,093.96x = 38,931,349.06
  5. Step 5: Solve for x
    x = 38,931,349.06/9,093.96
  6. Step 6: Final answer
    x = 4,281.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.